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When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that on which it stands.Introduction and books 1,2 - Page 181by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book

...the angle ADG is equal c. ,to the angle GDB : But when a ftraight line flanding upon another ftraight line makes the adjacent angles equal to one another, each of the angles is a right angle d. d7def.i. Therefore the angle GDB is a right angle : But FDB is .likewife...

...* : Therefore the angle ADG is equal GDB : But when a ftraight line flanding upon another ftraight line makes the adjacent angles equal to one another, each of the angles is a right angle d : Therefore the angle GDB is a right angle : But FDB is likewife a right...

...the angle ADG is equal c to the angle GDB. but when a ftraight A line (landing upon another ftraight line, -**. makes the adjacent angles equal to one another, each of the angles is a right angle d. therefore the angle GDB is a right angle. but FDB is ' likewife a right...

...equald to the d 8. 1. angle CHG ; and they are adjacent angles ; but when a straight line standing on a straight line makes the adjacent 'angles equal to one another, each of them is a right angle, and the straight line which stands upon the other is called a perpendicular...

...therefore the angle ADG is equal c to the angle GDB : but when a straight line standing upon another straight line makes the adjacent angles equal to one another, each of the angles is a right angle d : therefore the angle GDB is a right angle: but FDB is likewise a '" right...

...equal e to the angle CHG; and 1. they are adjacent angles; but when a straight line standing on ae 8. 1 straight line makes the adjacent angles equal to one another, each of them is a right angle, and the straight line which stands upon the other is called a perpendicular...

...meet together, but are not in the same straight line. 10. When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular...

...CHF is equal c j to the angle CHG; and they are adjacent angles; but when a straight line standing on a straight line makes the adjacent angles equal to one another, each of them is a right angle; and the straight line which stands upon the other is called a perpendicular...

...Tig JSg*. >%.?• rijr.21 / \ V_^ X' %!1^-^ %V28. !%• 32>^c » BHEA 11 l%.ll . Fig:a3. Fl ftraight line makes the adjacent angles equal to one another, each of the angles is called a KICHT ANGL.F and the ftraight line which (rands on the other u oiled a PEKPFXDICI'LAR....

...CHF is equal ° \ to the angle CHG; and they are adjacent angles; but when a straight line standing on a straight line makes the; ' adjacent angles equal to one another, e»ch of them is a right angle; and the straight line which stands upon the dther is called a perpendicular;...